%0 Journal Article
%A Ballesteros, H. G.
%A Carmona, J. M.
%A Fernández Pérez, Luis Antonio
%A Martín Mayor, Víctor
%A Muñoz Sudupe, Antonio
%A Tarancón, A.
%T Is the antiferromagnetic RP^(2) model in four dimensions trivial?
%D 1997
%@ 1550-7998
%U https://hdl.handle.net/20.500.14352/60088
%X We study the antiferromagnetic RP^(2) model in four dimensions. We find a second order transition with two order parameters, one ferromagnetic and the other antiferromagnetic. The antiferromagnetic sector has mean- field critical exponents and a renormalized coupling which goes to zero in the continuum limit. The exponents of the ferromagnetic channel are not the mean-field ones, but the difference can be interpreted as logarithmic corrections. We perform a detailed analysis of these corrections and conclude the triviality of the continuum limit of this model.
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